Binding number for path-factor uniform graphs

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August undefined, 2024

Web3 Binding number for path-factor uniform graphs 27 THEOREM 8. A 3-connected graph G is a P 2-factor uniform graph if bind(G)>1. THEOREM 9. A 3-connected graph G is a … Webd-factor uniform graph if for any e 2E(G), G e is a P d-factor covered graph. Furthermore, they showed two binding number conditions for graphs to be P 2-factor and P 3-factor …

Characterizations for P>=2-factor and P>=3-factor covered graphs

WebApr 1, 2009 · A path-factor in a graph G is a spanning subgraph F of G such that every component of F is a path. Let d and n be two nonnegative integers with d ≥ 2. A P≥d-factor of G is its spanning subgraph each… Expand PDF Remarks on path factors in graphs Sizhong Zhou Mathematics RAIRO Oper. Res. 2024 TLDR WebDec 1, 2024 · In this paper, we determine sharp bound of binding number for a graph G to be P ≥ 3-factor uniform. It seems that this concept can be further extended to a more … softteacher 训练

Remarks on Component Factors Semantic Scholar

WebSearch 206,462,984 papers from all fields of science. Search WebNov 29, 2010 · There is a significant difference here which you will run into as soon as you have a complex property path with typed parameters.. Conceptually they are equivalent … WebJun 9, 2024 · The main contributions in this remark are two folded: (1) we reveal that the existence of some special component factors is equal to some specific binding number conditions; (2) the parameter conditions for a graph G with a P_ {\tiny {\geqslant 3}} -factor are determined. 1 Introduction Graphs discussed in this remark are simple graphs. softteacher github

Some Results on Path-Factor Critical Avoidable Graphs - Sciendo

Toughness and isolated toughness conditions for $$P_{\ge 3}$$ P …

WebMay 30, 2024 · In this paper, we investigate the relationship between the binding numbers of graphs and the fractional ID-$[a,b]$-factor-critical covered graphs, and derive a binding number condition for a graph ... WebApr 12, 2013 · AbstractLet G be a graph. For a set ℋ of connected graphs, a spanning subgraph H of a graph G is called an ℋ-factor of G if each component of H is isomorphic to a member of ℋ. An ℋ-factor is also referred as a component factor. If G − e admits an ℋ-factor for any e∈ E(G), then we say that G is an ℋ-factor deleted graph. Let k ≥ 2 be an … soft teacher mmdetectionWebApr 1, 2010 · A path-factor is a spanning subgraph F of G such that every component of F is a path with at least two vertices. Let k ≥ 2 be an integer. A P ≥ k -factor of G means a path factor in which each… Expand 6 PDF View 1 excerpt, cites background Some Results on Path-Factor Critical Avoidable Graphs Sizhong Zhou Mathematics Discuss. Math. … slow cooker southern style green beans

"Webcorresponding graph of the network is a path-factor uniform graph. We nd that there are strong essential connection between some graphic parameters (for instance, degree and binding number, and so on) and the existence of path-factors in graphs (or path-factor uniform graphs), and hence investigations E-mail address: zsz [email protected] (S. … " - Binding number for path-factor uniform graphs

Binding number for path-factor uniform graphs

Tight binding number bound for P ≥3 -factor uniform …

WebJul 15, 2024 · A spanning subgraph F of G is called a path-factor if each component of F is a path. A P_ {\ge k} -factor of G means a path-factor such that each component is a path with at least k vertices, where k\ge 2 is an integer. A graph G is called a P_ {\ge k} -factor covered graph if for each e\in E (G), G has a P_ {\ge k} -factor covering e. WebFor a connected graph G, its binding number, denoted by bind ( G ), was defined as bind ( G) = min { N G ( X) X : ∅ ≠ X ⊆ V ( G), N G ( X) ≠ V ( G) }. For a family of connected …

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WebJun 9, 2024 · In this paper the properties of fractional factors of graphs are discussed.The isolated toughness of graph is defined and the relationship between the isolated toughness and fractional factors of… 13 Binding number conditions for P≥2-factor and P≥3-factor uniform graphs Sizhong Zhou, Zhiren Sun Mathematics Discret. Math. 2024 26 WebA path-factor in a graph is a spanning subgraph of such that every component of is a path. Let and be two nonnegative integers with ≥2. A ≥ -factor of is its spanning subgraph each of whose components is a path with at least vertices. A graph is called a ≥ -factor covered graph if for any ∈ ( ), admits a ≥ -factor containing .

WebS. Zhou and Z. Sun, Binding number conditions for P ≥2-factor and P ≥3-factor uniform graphs. Discrete Math. 343 (2024) 111715. [Google Scholar] S. Zhou and Z. Sun, A … WebJan 1, 2024 · Kelmans [6] showed some sufficient conditions for graphs to have path-factors. Zhou [10], Zhou, Bian and Sun [13] derived some sufficient conditions for graphs to be P ≥3 -factor covered graphs ...

WebA graph G is called a P ≥d -factor uniform graph if for any e ∈ E (G), the graph G−e is a P ≥d -factor covered graph. Zhou and Sun [27] showed binding number conditions for a... WebJul 20, 2024 · A path-factor in a graph G is a spanning subgraph F of G such that every component of F is a path. Let d and n be two nonnegative integers with d ≥ 2. A P≥d-factor of G is its spanning subgraph each… Expand PDF The existence of path-factor uniform graphs with large connectivity Sizhong Zhou, Qiuxiang Bian Mathematics RAIRO Oper. …

WebFeb 1, 2024 · Some sufficient conditions for path-factor uniform graphs Sizhong Zhou, Zhiren Sun, Hong-xia Liu Mathematics 2024 For a set H of connected graphs, a spanning subgraph H of G is called an H -factor of G if each component of H is isomorphic to an element of H . A graph G is called an H -factor uniform graph if for… Expand PDF …

WebMar 1, 2024 · Let k ≥ 2 be an integer, and let G be a graph. A spanning subgraph F of a graph G is called a P ≥ k-factor of G if each component of F is a path of order at least k. … soft tap shoesWebJul 1, 2024 · The concept of path-factor uniform graph was first presented by Zhou and Sun [28], and they showed a binding number condition for the existence of P ≥3 -factor … soft targets crowded placesWebDec 1, 2024 · Graph Theory 2024 Abstract A path factor is a spanning subgraph F of G such that every component of F is a path with at least two vertices. We write P≥k = {Pi : i ≥ k}. Then a P≥k-factor of G means a path factor in… 17 Binding numbers and restricted fractional (g, f)-factors in graphs Sizhong Zhou Mathematics Discret. Appl. Math. 2024 22 slow cooker south indian chicken curry recipeWebDec 3, 2024 · graph toughness isolated toughness P≥3-factor (P≥3, k)-factor-critical covered graph MSC classification Primary: 05C70: Factorization, matching, partitioning, covering and packing Secondary: 05C38: Paths and cycles Type Research Article Information Bulletin of the Australian Mathematical Society , Volume 106 , Issue 2 , … soft teams loginhttp://simplebasics.net/ui%20controls/error-two-way-binding-requires-path-or-xpath/ soft tartan surfaceWebJul 1, 2024 · The relationships between binding number, isolated toughness and graph factors can be found in [2, 6, 17,24,25]. Many other results on graph factors can be discovered in [7,11, [14]... softteacher object detectionWebA graph G is called a P≥3-factor covered graph if G has a P≥3-factor including e for any e ∈ E (G). In this paper, we obtain three sufficient conditions for graphs to be P≥3-factor covered graphs. Furthermore, it is shown that the results are sharp. View via Publisher dmgt.uz.zgora.pl Save to Library Create Alert Cite 15 Citations Citation Type soft teams app